Bite-sized brain teaser to solve in a minute or less.

The Handshake Puzzle
Category: Combinatorics / Light Math
At a party, everyone shakes hands with everyone else exactly once.
There are 6 people.
How many handshakes occur at the party?
Solution
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Let's name the 6 people Persons A, B, C, D, E, F Person A shakes hands with Persons B, C, D, E, F - 5 handshakes Person B shakes hands with Persons C, D, E, F - 4 handshakes Person C shakes hands with Persons D, E, F - 3 handshakes Person D shakes hands with Persons E, F - 2 handshakes Person E shakes hands with Persons F - 1 handshake Answer: 15 handshakes. |
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